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Finding the Third Proportional to 408,060 and 633,378

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Solution

The third proportional to 408,060 and 633,378 is: 983,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,060 : 633,378 = 633,378 : x
  2. Step 2: Convert to fraction form
    408,060/633,378 = 633,378/x
  3. Step 3: Cross multiply
    408,060x = 633,378 × 633,378
  4. Step 4: Simplify right side
    408,060x = 401,167,690,884
  5. Step 5: Solve for x
    x = 401,167,690,884/408,060
  6. Step 6: Final answer
    x = 983,109.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.